Discrete two-point space
Encyclopedia
In topology
, a branch of mathematics, a discrete two-point space is the simplest example of a totally disconnected discrete space
. The points can be denoted by the symbols 0 and 1.
Any disconnected space has a continuous mapping onto the discrete two-point space. Conversely if a continuous mapping to the discrete two-point space exists from a topological space, the space is disconnected.
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, a branch of mathematics, a discrete two-point space is the simplest example of a totally disconnected discrete space
Discrete space
In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points are "isolated" from each other in a certain sense.- Definitions :Given a set X:...
. The points can be denoted by the symbols 0 and 1.
Any disconnected space has a continuous mapping onto the discrete two-point space. Conversely if a continuous mapping to the discrete two-point space exists from a topological space, the space is disconnected.